Atkin-Lehner |
2+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37400i |
Isogeny class |
Conductor |
37400 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-1561842700000000 = -1 · 28 · 58 · 11 · 175 |
Discriminant |
Eigenvalues |
2+ -2 5- 1 11- -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,12167,1833963] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:850:1] [-41:1126:1] |
Generators of the group modulo torsion |
j |
1991767040/15618427 |
j-invariant |
L |
6.6754714149677 |
L(r)(E,1)/r! |
Ω |
0.34721543746815 |
Real period |
R |
0.32042888912832 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74800r1 37400r1 |
Quadratic twists by: -4 5 |